Stabilizing Homogeneous Black Strings in AdS

TL;DR

This paper demonstrates that homogeneous black strings in Anti-de Sitter space, which include scalar fields, are linearly stable against generic perturbations, contrasting with their known instability in flat spacetime.

Contribution

The study proves linear stability of homogeneous black strings in AdS with scalar fields, extending understanding of their perturbative behavior in curved spacetime.

Findings

Homogeneous black strings in AdS are linearly stable.

Scalar fields do not induce instability in these configurations.

Stability holds regardless of the size of the Schwarzschild-AdS black hole.

Abstract

It is known that homogenous black strings in flat spacetime are unstable under long wavelength perturbations. Recently, by including scalar fields that depend on the extended coordinates only, homogenous black strings have been constructed in the presence of a negative cosmological constant, therefore implying that generic perturbations will contain both metric and scalar fluctuations. Here we show that for such generic perturbations homogeneous black strings with a negative cosmological constant are perturbatively stable at linear level, regardless the size of the Schwarzschild-AdS black hole located on the brane.